Numerical simulation of spatially-evolving instability in three-dimensional plane channel flow

2008 ◽  
pp. 190-191
Author(s):  
G. Danabasoglu ◽  
S. Biringen ◽  
C. L. Streett
Keyword(s):  
Numerical Simulation ◽  
Channel Flow ◽  
Three Dimensional ◽  
Plane Channel ◽  
Dimensional Plane ◽  
Plane Channel Flow

scholarly journals Flow Statistics in the Transitional Regime of Plane Channel Flow

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 1001 ◽  
Author(s):  
Pavan Kashyap ◽  
Yohann Duguet ◽  
Olivier Dauchot
Keyword(s):  
Numerical Simulation ◽  
Channel Flow ◽  
Plane Channel ◽  
Turbulent Regime ◽  
Transitional Regime ◽  
Strong Linear Correlation ◽  
Transitional Point ◽  
Spatio Temporal ◽  
High Order Statistics ◽  
Plane Channel Flow

The transitional regime of plane channel flow is investigated above the transitional point below which turbulence is not sustained, using direct numerical simulation in large domains. Statistics of laminar-turbulent spatio-temporal intermittency are reported. The geometry of the pattern is first characterized, including statistics for the angles of the laminar-turbulent stripes observed in this regime, with a comparison to experiments. High-order statistics of the local and instantaneous bulk velocity, wall shear stress and turbulent kinetic energy are then provided. The distributions of the two former quantities have non-trivial shapes, characterized by a large kurtosis and/or skewness. Interestingly, we observe a strong linear correlation between their kurtosis and their skewness squared, which is usually reported at much higher Reynolds number in the fully turbulent regime.

Final stages of transition to turbulence in plane channel flow

1984 ◽  
Vol 148 ◽  
pp. 413-442 ◽  
Author(s):  
S. Biringen
Keyword(s):  
Flow Field ◽  
Turbulent Flows ◽  
Channel Flow ◽  
Stokes Equations ◽  
Flow Direction ◽  
Three Dimensional ◽  
Plane Channel ◽  
Turbulent Channel Flow ◽  
Transition To Turbulence ◽  
Plane Channel Flow

This paper involves a numerical simulation of the final stages of transition to turbulence in plane channel flow at a Reynolds number of 1500. Three-dimensional incompressible Navier–Stokes equations are numerically integrated to obtain the time evolution of two- and three-dimensional finite-amplitude disturbances. Computations are performed on the CYBER-203 vector processor for a 32 × 51 × 32 grid. Solutions indicate the existence of structures similar to those observed in the laboratory and characteristic of the various stages of transition that lead to final breakdown. In particular, evidence points to the formation of a A-shaped vortex and the subsequent system of horsehoe vortices inclined to the main flow direction as the primary elements of transition. Details of the resulting flow field after breakdown indicate the evolution of streaklike formations found in turbulent flows. Although the flow field does approach a steady state (turbulent channel flow), the introduction of subgrid-scale terms seems necessary to obtain fully developed turbulence statistics.

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